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SPIRES-BOOKS: FIND KEYWORD INTEGRAL TRANSFORMS,OPERATIONAL CALCULUS *END*INIT* use /tmp/qspiwww.webspi1/21925.133 QRY 131.225.70.96 . find keyword integral transforms,operational calculus ( in books using www Cover
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Call number:SPRINGER-2016-9783319287393:ONLINE Show nearby items on shelf
Title:Nonlocal Diffusion and Applications
Author(s): Claudia Bucur
Date:2016
Size:1 online resource (23 p.)
Note:10.1007/978-3-319-28739-3
Contents:Introduction -- 1 A probabilistic motivation.-1.1 The random walk with arbitrarily long jumps -- 1.2 A payoff model.-2 An introduction to the fractional Laplacian.-2.1 Preliminary notions -- 2.2 Fractional Sobolev Inequality and Generalized Coarea F ormula -- 2.3 Maximum Principle and Harnack Inequality -- 2.4 An s-harmonic function -- 2.5 All functions are locally s-harmonic up to a small error -- 2.6 A function with constant fractional Laplacian on the ball -- 3 Extension problems -- 3.1 Water wave model -- 3.2 Crystal dislocation -- 3.3 An approach to the extension problem via the Fourier transform -- 4 Nonlocal phase transitions -- 4.1 The fractional Allen-Cahn equation -- 4.2 A nonlocal version of a conjecture by De Giorgi -- 5 Nonlocal minimal surfaces -- 5.1 Graphs and s-minimal surfaces -- 5.2 Non-existence of singular cones in dimension 2 5.3 Boundary regularity -- 6 A nonlocal nonlinear stationary Schrödinger type equation -- 6.1 From the nonlocal Uncertainty Principle to a
fractional weighted inequality -- Alternative proofs of some results -- A.1 Another proof of Theorem A.2 Another proof of Lemma 2.3 -- References
ISBN:9783319287393
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes of the Unione Matematica Italiana: 20
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Partial differential equations , Calculus of variations , Mathematics , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-2016-9783319278070:ONLINE Show nearby items on shelf
Title:Advanced Calculus of a Single Variable
Author(s): Tunc Geveci
Date:2016
Size:1 online resource (77 p.)
Note:10.1007/978-3-319-27807-0
Contents:Preface -- Real Numbers, Sequences and Limits -- Limits and Continuity of Functions -- The Derivative -- The Riemann Integral -- Infinite Series -- Sequences and Series of Functions. Index.
ISBN:9783319278070
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-2016-9783034809641:ONLINE Show nearby items on shelf
Title:Application of Holomorphic Functions in Two and Higher Dimensions
Author(s): Klaus Gürlebeck
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-3-0348-0964-1
Contents:1.Basic Properties of Holomorphic Functions -- 2.Conformal and Quasi-conformal Mappings -- 3.Function Theoretic Function spaces -- 4.Operator Calculus -- 5.Decompositions -- 6.Some First Order Systems of Partial Differential Equations -- 7.Boundary Value Problems of Second Order Partial Differential Equations -- 8.Some Initial-boundary Value Problems -- 9.Riemann-Hilbert Problems -- 10.Initial Boundary Value Problems on the Sphere -- 11.Fourier Transforms -- Bibliography -- Index
ISBN:9783034809641
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Mathematics , Integral Transforms, Operational Calculus , Functions of a Complex Variable , Partial Differential Equations , Functional Analysis
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Call number:SPRINGER-2016-9781493930289:ONLINE Show nearby items on shelf
Title:Linear Canonical Transforms Theory and Applications
Author(s):
Date:2016
Size:1 online resource (26 p.)
Note:10.1007/978-1-4939-3028-9
Contents:Foreward -- PART I : Fundamentals -- Development of linear canonical transforms – a historical sketch -- The linear canonical transformation: definition and properties -- Eigenfunctions of the linear canonical transform -- Uncertainty
principles and the linear canonical transform -- The linear canonical transformations in classical optics -- Optical Implementation of Linear Canonical Transforms -- PART II : Discretization and Computation -- Linear canonical domains
and degrees of freedom of signals and systems -- Sampling and discrete linear canonical transforms -- Self-imaging and discrete paraxial optics -- Fast algorithms for digital computation of linear canonical transforms -- PART III :
Applications -- Deterministic phase retrieval using the LCT -- Analyzing digital holographic systems with the LCT -- Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and
countermeasures -- Complex valued ABCD Matrices -- Linear canonical transforms on quantum states of light
ISBN:9781493930289
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Optical Sciences: 198
Keywords: Physics , Integral transforms , Operational calculus , Optics , Electrodynamics , Microwaves , Optical engineering , Physics , Optics and Electrodynamics , Microwaves, RF and Optical Engineering , Integral Transforms, Operational Calculus , Numerical and Computational Physics
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Call number:SPRINGER-2004-9783764378042:ONLINE Show nearby items on shelf
Title:Generalized Analytic Automorphic Forms in Hypercomplex Spaces
Author(s): Rolf Sören Krausshar
Date:2004
Size:1 online resource (168 p.)
Note:10.1007/b95203
Contents:Introduction -- 1. Function Theory in Hypercomplex Spaces -- 2. Clifford-analytic Eisenstein Series Associated to Translation Groups -- 3. Clifford-analytic Modular Forms -- Bibliography -- Index
ISBN:9783764378042
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Integral transforms , Operational calculus , Potential theory (Mathematics) , Sequences (Mathematics) , Special functions , Number theory , Mathematics , Special Functions , Integral Transforms, Operational Calculus , Potential Theory , Sequences, Series, Summability , Number Theory
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Call number:SPRINGER-2004-9783662102251:ONLINE Show nearby items on shelf
Title:Tauberian Theory A Century of Developments
Author(s): Jacob Korevaar
Date:2004
Size:1 online resource (483 p.)
Note:10.1007/978-3-662-10225-1
Contents:I The Hardy—Littlewood Theorems -- II Wiener’s Theory -- III Complex Tauberian Theorems -- IV Karamata’s Heritage: Regular Variation -- V Extensions of the Classical Theory -- VI Borel Summability and General Circle Methods -- VII
Tauberian Remainder Theory -- References
ISBN:9783662102251
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 329
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Fourier analysis , Integral transforms , Operational calculus , Sequences (Mathematics) , Number theory , Mathematics , Analysis , Sequences, Series, Summability , Approximations and Expansions , Fourier Analysis , Integral Transforms, Operational Calculus , Number Theory
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Call number:SPRINGER-2004-9783034879415:ONLINE Show nearby items on shelf
Title:Reconstructive Integral Geometry
Author(s): Victor Palamodov
Date:2004
Size:1 online resource (164 p.)
Note:10.1007/978-3-0348-7941-5
Contents:1 Distributions and Fourier Transform -- 1.1 Introduction -- 1.2 Distributions and generalized functions -- 1.3 Tempered distributions -- 1.4 Homogeneous distributions -- 1.5 Manifolds and differential forms -- 1.6 Push down and pull
back -- 1.7 More on the Fourier transform -- 1.8 Bandlimited functions and interpolation -- 2 Radon Transform -- 2.1 Properties -- 2.2 Inversion formulae -- 2.3 Alternative formulae -- 2.4 Range conditions -- 2.5 Frequency analysis --
2.6 Radon transform of differential forms -- 3 The Funk Transform -- 3.1 Factorable mappings -- 3.2 Spaces of constant curvature -- 3.3 Inversion of the Funk transform -- 3.4 Radon’s inversion via Funk’s inversion -- 3.5 Unified form
-- 3.6 Funk-Radon transform and wave fronts -- 3.7 Integral transform of boundary discontinuities -- 3.8 Nonlinear artifacts -- 3.9 Pizetti formula for arbitrary signature -- 4 Reconstruction from Line Integrals -- 4.1 Pencils of lines
and John’s equation -- 4.2 Sources at infinity -- 4.3 Reduction to the Radon transform -- 4.4 Rays tangent to a surface -- 4.5 Sources on a proper curve -- 4.6 Reconstruction from plane integrals of sources -- 4.7 Line integrals of
differential forms -- 4.8 Exponential ray transform -- 4.9 Attenuated ray transform -- 4.10 Inversion formulae -- 4.11 Range conditions -- 5 Flat Integral Transform -- 5.1 Reconstruction problem -- 5.2 Odd-dimensional subspaces -- 5.3
Even dimension -- 5.4 Range of the flat transform -- 5.5 Duality for the Funk transform -- 5.6 Duality in Euclidean space -- 6 Incomplete Data Problems -- 6.1 Completeness condition -- 6.2 Radon transform of Gabor functions -- 6.3
Reconstruction from limited angle data -- 6.4 Exterior problem -- 6.5 The parametrix method -- 7 Spherical Transform and Inversion -- 7.1 Problems -- 7.2 Arc integrals in the plane -- 7.3 Hemispherical integrals in space -- 7.4
Incomplete data -- 7.5 Spheres centred on a sphere -- 7.6 Spheres tangent to a manifold -- 7.7 Characteristic Cauchy problem -- 7.8 Fundamental solution for the adjoint operator -- 8 Algebraic Integral Transform -- 8.1 Problems -- 8.2
Special cases -- 8.3 Multiplicative differential equations -- 8.4 Funk transform of Leray forms -- 8.5 Differential equations for hypersurface integrals -- 8.6 Howard’s equations -- 8.7 Range of differential operators -- 8.8 Decreasing
solutions of Maxwell’s system -- 8.9 Symmetric differential forms -- 9 Notes -- Notes to Chapter 1 -- Notes to Chapter 2 -- Notes to Chapter 3 -- Notes to Chapter 4 -- Notes to Chapter 5 -- Notes to Chapter 6 -- Notes to Chapter 7 --
Notes to Chapter 8
ISBN:9783034879415
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Monographs in Mathematics : 98
Keywords: Mathematics , Fourier analysis , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus , Fourier Analysis
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Call number:SPRINGER-2004-9783034878463:ONLINE Show nearby items on shelf
Title:Applied Laplace Transforms and z-Transforms for Scientists and Engineers A Computational Approach using a Mathematica Package
Author(s): Urs Graf
Date:2004
Size:1 online resource (500 p.)
Note:10.1007/978-3-0348-7846-3
Contents:1 Laplace Transformation -- 1.1 The One-Sided Laplace Transform -- 1.2 The Two-Sided Laplace Transform -- 1.3 Ordinary Linear Differential Equations -- 2 z-Transformation -- 2.1 z-Transforms and Inverse z-Transforms -- 2.2 Difference
Equations -- 3 Laplace Transforms with the Package -- 3.1 Basics -- 3.2 The Use of Transformation Rules -- 3.3 The Finite Laplace Transform -- 3.4 Special Functions -- 3.5 Inverse Laplace Transformation -- 3.6 Differential Equations --
4 z-Transformation with the Package -- 4.1 Basics -- 4.2 Use of Transformation Rules -- 4.3 Difference Equations -- 5 Applications To Automatic Control -- 5.1 Controller Configurations -- 5.2 State-Variable Analysis -- 5.3 Second Order
Differential Systems -- 5.4 Stability -- 5.5 Frequency Analysis -- 5.6 Sampled-Data Control Systems -- 6 Laplace Transformation: Further Topics -- 6.1 The Complex Inversion Formula -- 6.2 Laplace Transforms and Asymptotics -- 6.3
Differential Equations -- 7 z-Transformation: Further Topics -- 7.1 The Advanced z-Transformation -- 7.2 Applications -- 7.3 Use of the Package -- 8 Examples from Electricity -- 8.1 Transmission Lines -- 8.2 Electrical Networks -- 9
Examples from Control Engineering -- 9.1 Control of an Inverted Pendulum -- 9.2 Controling a Seesaw-Pendulum -- 9.3 Control of a DC Motor -- 9.4 A Magnetic-Ball-Suspension-System -- 9.5 A Sampled-Data State-Variable Control System --
10 Heat Conduction and Vibration Problems -- 10.1 Flow of Heat -- 10.2 Waves and Vibrations in Elastic Solids -- 11 Further Techniques -- 11.1 Duhamel’s Formulas -- 11.2 Green’s Functions -- 11.3 Fundamental Solutions -- 11.4 Finite
Fourier Transforms -- 12 Numerical Inversion of Laplace Transforms -- 12.1 Inversion by the Use of Laguerre Functions -- 12.2 Inversion by Use of Fourier Analysis -- 12.3 The Use of Gaussian Quadrature Formulas -- 12.4 The Method of
Gaver and Stehfest -- 12.5 Example -- Appendix: Package Commands
ISBN:9783034878463
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Functional analysis , Integral transforms , Operational calculus , Computer mathematics , Mathematics , Functional Analysis , Symbolic and Algebraic Manipulation , Integral Transforms, Operational Calculus , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2004-9781461220589:ONLINE Show nearby items on shelf
Title:Approximation Theory Using Positive Linear Operators
Author(s): Radu Păltănea
Date:2004
Size:1 online resource (202 p.)
Note:10.1007/978-1-4612-2058-9
Contents:1 Introduction -- 1.1 Operators and functionals. Moduli of continuity -- 1.2 Approximation of functions by sequences of positive linear operators -- 2 Estimates with Second Order Moduli -- 2.1 A general approach -- 2.2 Estimates with
moduli ?2? and ?2? -- 2.3 Estimates with modulus ?2d -- 2.4 Estimates with modulus ?2dd -- 2.5 Estimates with Ditzian—Totik modulus -- 3 Absolute Optimal Constants -- 3.1 Introduction -- 3.2 Discrete functionals and the classical
second order modulus ?2 -- 3.3 General functionals and the second order modulus with parameter ?2? -- 4 Estimates for the Bernstein Operators -- 4.1 Various types of estimates -- 4.2 Best constant in the estimate with modulus ?2 -- 4.3
Global smoothness preservation -- 5 Two Classes of Bernstein Type Operators -- 5.1 Generalized Brass type operators -- 5.2 Generalized Durrmeyer type operators -- 6 Approximation Operators for Vector-Valued Functions -- 6.1
Approximation of functions with real argument -- 6.2 Approximation of functions with vector argument -- References
ISBN:9781461220589
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Field theory (Physics) , Approximation theory , Functional analysis , Integral transforms , Operational calculus , Operator theory , Applied mathematics , Engineering mathematics , Mathematics , Approximations and Expansions , Field Theory and Polynomials , Functional Analysis , Integral Transforms, Operational Calculus , Operator Theory , Applications of Mathematics
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Call number:SPRINGER-2003-9789401708074:ONLINE Show nearby items on shelf
Title:Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
Author(s): L. S Maergoiz
Date:2003
Edition:Second Edition, Revised and Enlarged
Size:1 online resource (362 p.)
Note:10.1007/978-94-017-0807-4
Contents:1 Preliminary -- 2 A Method of Identifying Homeostasis Relaxation Characteristics -- 3 Indicator Diagram of an Entire Function of One Variable with Nonnegative Indicator -- 4 Plane Indicator Diagram of Entire Function of Order ? > 0
with the Indicator of General Form -- 5 Spaces of Entire Functions of Order ? > 0 with Restrictions on the indicator -- 6 Geometrical Analysis of Asymptotics of Functions Plurisubgarmonic in ?n -- 7 Growth Characteristics of Entire
Functions (Orders, Types) and Their Applications -- 8 Indicator Diagram of an Entire Function of Several Variables with Nonnegative Indicator -- Appendix A Riemann Surface of the Inverse Function for a Polynomial of Fractional Order --
A.1 Some topological information -- A.2 Construction of the Riemann surface in question and its properties -- Appendix B Indicator and Conjugate Diagrams of Entire Function of a Given Proximate Order -- B.1 Necessary information about
proximate orders. Indicator diagram -- B.2 Analytic proximate orders and associated functions -- B.3 Entire functions associated with an analytic proximate order -- B.4 Entire function of a given proximate order and with nonnegative
indicator -- B.5 Analytic proximate orders generated by entire or meromorphic functions -- B.6 Applications of the preceding results -- Comments -- References to Chapters 1, 3–8 -- References to Chapter 2 -- Notation
ISBN:9789401708074
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 559
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Functions of real variables , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Real Functions , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-2003-9783034880770:ONLINE Show nearby items on shelf
Title:Reproducing Kernel Spaces and Applications
Author(s):
Date:2003
Size:1 online resource (344 p.)
Note:10.1007/978-3-0348-8077-0
Contents:Realization of Functions into the Symmetrised Bidisc -- A Basic Interpolation Problem for Generalized Schur Functions and Coisometric Realizations -- Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative
Settings -- On Realizations of Rational Matrix Functions of Several Complex Variables II -- Bergman Projection and Weighted Holomorphic Functions -- Linear Fractional Transformations, Riccati Equations and Bitangential Interpolation,
Revisited -- A Class of Matrix-valued Schrödinger Operators with Prescribed Finite-band Spectra -- Laplace Transforms Asymptotics, Bergman Kernels and Composition Operators -- On the Structure of Self-similar Systems: A Hilbert Space
Approach -- Reproducing Kernels and a Family of Bounded Linear Operators -- Multipliers in the Reproducing Kernel Hilbert Space, Subnormality and Noncommutative Complex Analysis -- Existence of Unitary Dilations as a Moment Problem
ISBN:9783034880770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications : 143
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Mathematics , Operator Theory , Functional Analysis , Functions of a Complex Variable , Integral Transforms, Operational Calculus , Partial Differential Equations
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Call number:SPRINGER-2003-9781461500575:ONLINE Show nearby items on shelf
Title:Computational Techniques for the Summation of Series
Author(s): Anthony Sofo
Date:2003
Size:1 online resource (189 p.)
Note:10.1007/978-1-4615-0057-5
Contents:1. Some Methods for closed form Representation -- 1 Some Methods -- 2 A Tree Search Sum and Some Relations -- 2. Non-Hypergeometric Summation -- 1 Introduction -- 2 Method -- 3 Burmann’s Theorem and Application -- 4 Differentiation
and Integration -- 5 Forcing Terms -- 6 Multiple Delays, Mixed and Neutral Equations -- 7 Bruwier Series -- 8 Teletraffic Example -- 9 Neutron Behaviour Example -- 10 A Renewal Example -- 11 Ruin Problems in Compound Poisson Processes
-- 12 A Grazing System -- 13 Zeros of the Transcendental Equation -- 14 Numerical Examples -- 15 Euler’sWork -- 16 Jensen’s Work -- 17 Ramanujan’s Question -- 18 Cohen’s Modification and Extension -- 19 Conolly’s Problem -- 3.
Bürmann’s Theorem -- 1 Introduction -- 2 Bürmann’s Theorem and Proof -- 3 Convergence Region -- 4. Binomial type Sums -- 1 Introduction -- 2 Problem Statement -- 3 A Recurrence Relation -- 4 Relations Between Gk (m) and Fk+1 (m) -- 5.
Generalization of the Euler Sum -- 1 Introduction -- 2 1-Dominant Zero -- 3 The K-Dominant Zeros Case -- 6. Hypergeometric Summation: Fibonacci and Related Series -- 1 Introduction -- 2 The Difference-Delay System -- 3 The Infinite Sum
-- 4 The Lagrange Form -- 5 Central Binomial Coefficients -- 6 Fibonacci, Related Polynomials and Products -- 7 Functional Forms -- 7. Sums and Products of Binomial Type -- 1 Introduction -- 2 Technique -- 3 Multiple Zeros -- 4 More
Sums -- 5 Other Forcing Terms -- 8. Sums of Binomial Variation -- 1 Introduction -- 2 One Dominant Zero -- 3 Multiple Dominant Zeros -- 4 Zeros -- 5 Non-zero Forcing Terms -- References -- About the Author
ISBN:9781461500575
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Difference equations , Functional equations , Functions of complex variables , Integral transforms , Operational calculus , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Difference and Functional Equations , Integral Transforms, Operational Calculus , Numeric Computing , Functions of a Complex Variable
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Call number:SPRINGER-2003-9781461500490:ONLINE Show nearby items on shelf
Title:Digital Sound Synthesis by Physical Modeling Using the Functional Transformation Method
Author(s): Lutz Trautmann
Date:2003
Size:1 online resource (226 p.)
Note:10.1007/978-1-4615-0049-0
Contents:1. Introduction -- 2. Sound-Based Synthesis Methods -- 1 Wavetable synthesis -- 2 Granular synthesis -- 3 Additive synthesis -- 4 Subtractive synthesis -- 5 FM synthesis -- 6 Combinations of sound-based synthesis methods -- 3.
Physical Description of Musical instruments -- 1 General notation -- 2 Subdivision of a musical instrument into vibration generators and a resonant body -- 3 Physical description of string vibrations -- 4 Physical description of
membrane vibrations -- 5 Physical description of resonant bodies -- 6 Chapter summary -- 4. Classical Synthesis Methods Based on Physical Models -- 1 Finite difference method -- 2 Digital waveguide method -- 3 Modal synthesis -- 4
Chapter summary -- 5. Functional Transformation Method -- 1 Fundamental principles of the FTM -- 2 Application of the FTM to vibrating strings -- 3 Application of the FTM to vibrating membranes -- 4 Application of the FTM to resonant
bodies -- 5 Chapter summary -- 6. Comparison of the Ftm with the Classical Physical Modeling Methods -- 1 Comparison of the FTM with the FDM -- 2 Comparison and combination of the FTM with the DWG -- 3 Comparison of the FTM with the MS
-- 4 Chapter conclusions -- 7. Summary, Conclusions, and Outlook
ISBN:9781461500490
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Integral transforms , Operational calculus , Partial differential equations , System theory , Acoustics , Vibration , Dynamical systems , Dynamics , Mathematics , Partial Differential Equations , Vibration, Dynamical Systems, Control , Integral Transforms, Operational Calculus , Acoustics , Systems Theory, Control
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Call number:SPRINGER-2002-9789401599221:ONLINE Show nearby items on shelf
Title:Bounded and Compact Integral Operators
Author(s): David E Edmunds
Date:2002
Size:1 online resource (643 p.)
Note:10.1007/978-94-015-9922-1
Contents:1. Hardy-Type Operators -- 2. Fractional Integrals on the Line -- 3. One-Sided Maximal Functions -- 4. Ball Fractional Integrals -- 5. Potentials on RN -- 6. Fractional Integrals on Measure Spaces -- 7. Singular Numbers -- 8. Singular
Integrals -- 9. Multipliers of Fourier Transforms -- 10. Problems -- References
ISBN:9789401599221
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 543
Keywords: Mathematics , Harmonic analysis , Fourier analysis , Integral transforms , Operational calculus , Operator theory , Potential theory (Mathematics) , Mathematics , Potential Theory , Fourier Analysis , Abstract Harmonic Analysis , Integral Transforms, Operational Calculus , Operator Theory
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Call number:SPRINGER-2002-9783540456582:ONLINE Show nearby items on shelf
Title:Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
Author(s): Dang Dinh Ang
Date:2002
Size:1 online resource (186 p.)
Note:10.1007/b84019
Contents:Introduction -- Mathematical Preliminaries -- Regularization of moment problems by trancated expansion and by the Tikhonov method -- Backus-Gilbert regularization of a moment problem -- The Hausdorff moment problem: regularization and
error estimates -- Analytic functions: reconstruction and Sinc approximations -- Regularization of some inverse problems in potential theory -- Regularization of some inverse problems in heat conduction -- Epilogue -- References --
Index
ISBN:9783540456582
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1792
Keywords: Mathematics , Functions of complex variables , Integral equations , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Potential theory (Mathematics) , Mathematics , Functions of a Complex Variable , Potential Theory , Partial Differential Equations , Integral Transforms, Operational Calculus , Integral Equations , Operator Theory
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Call number:SPRINGER-2001-9789401007047:ONLINE Show nearby items on shelf
Title:Noncommutative Differential Geometry and Its Applications to Physics Proceedings of the Workshop at Shonan, Japan, June 1999
Author(s):
Date:2001
Size:1 online resource (308 p.)
Note:10.1007/978-94-010-0704-7
Contents:Methods Of Equivariant Quantization -- Application of Noncommutative Differential Geometry on Lattice to Anomaly Analysis in Abelian Lattice Gauge Theory -- Geometrical Structures on Noncommutative Spaces -- A Relation Between
Commutative and Noncommutative Descriptions of D-Branes -- Intersection Numbers On The Moduli Spaces Of Stable Maps In Genus 0 -- D-Brane Actions On Kähler Manifolds -- On The Projective Classification Of The Modules Of Differential
Operators On ?m -- An Interpretation Of Schouten-Nijenhuis Bracket -- Remarks On The Characteristic Classes Associated With The Group Of Fourier Integral Operators -- C*-Algebraic Deformation And Index Theory -- Singular Systems Of
Exponential Functions -- Determinants Of Elliptic Boundary Problems In Quantum Field Theory -- On Geometry Of Non-Abelian Duality -- Weyl Calculus And Wigner Transform On The Poincaré Disk -- Lectures On Graded Differential Algebras
And Noncommutative Geometry
ISBN:9789401007047
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Physics Studies : 23
Keywords: Physics , Global analysis (Mathematics) , Manifolds (Mathematics) , Integral transforms , Operational calculus , Differential geometry , Quantum physics , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory , Differential Geometry , Quantum Physics , Integral Transforms, Operational Calculus , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2001-9781475732986:ONLINE Show nearby items on shelf
Title:Analytic Extension Formulas and their Applications
Author(s):
Date:2001
Size:1 online resource (288 p.)
Note:10.1007/978-1-4757-3298-6
Contents:1. Extending holomorphic functions from subvarieties -- 2. Representations of analytic functions on typical domains in terms of local values and truncation error estimates -- 3. Uniqueness in determining damping coefficients in
hyperbolic equations -- 4. Analytic continuation of Cauchy and exponential transforms -- 5. Analytic function spaces and their applications to nonlinear evolution equations -- 6. A sampling principle associated with Saitoh’s
fundamental theory of linear transformations -- 7. The enclosure method and its applications -- 8. On analytic properties of a multiple L-function -- 9. Multi-dimensional inverse scattering theory -- 10. Holomorphic spaces related to
orthogonal polynomials and analytic continuation of functions -- 11. Extension and division on complex manifolds -- 12. Analytic extension formulas, integral transforms and reproducing kernels -- 13. Analytic continuation beyond the
ideal boundary -- 14. Justification of a formal derivation of the Euler-Maclaurin summation formula -- 15. Extension of Löwner-Heinz inequality via analytic continuation -- 16. The Calogero-Moser model, the Calogero model and analytic
extension
ISBN:9781475732986
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 9
Keywords: Mathematics , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Potential theory (Mathematics) , Mathematics , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Partial Differential Equations , Integral Transforms, Operational Calculus , Potential Theory
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Call number:SPRINGER-1999-9789401145770:ONLINE Show nearby items on shelf
Title:Analytic and Geometric Inequalities and Applications
Author(s):
Date:1999
Size:1 online resource (377 p.)
Note:10.1007/978-94-011-4577-0
Contents:Problem of Infimum in the Positive Cone -- Open Problems on Eigenvalues of the Laplacian -- On an Inequality of S. Bernstein and the Gauss-Lucas Theorem -- Second Order Opial Inequalities in Lp Spaces and Applications -- On
Multi-Dimensional Integral Inequalities and Applications -- Some Inequalities for Triangle: Old and New Results -- A Treatise on Grüss’ Inequality -- A?B?0Ensures (Br/2Ar/2Br/2)1/q ? (Br/2Br/2Br/2)1/q for r?0,p?0, q ? 1 with (1+r)q ? p
+ r and its Recent Applications -- Degree of Convergence for a Class of Linear Operators -- Some Comments and a Bibliography on the Laguerre-Samuelson Inequality with Extensions and Applications in Statistics and Matrix Theory --
Fractional Order Inequalities of Hardy Type -- Theory of Differential and Integral Inequalities with Initial Time Difference and Applications -- Numerical Radii of Some Companion Matrices and Bounds for the Zeros of Polynomials --
Bounds on Entropy Measures for Mixed Populations -- Extremal Problems and Inequalities of Markov-Bernstein Type for Polynomials -- On Alpha-Quasi-Convex Functions Defined by Convolution with Incomplete Beta Functions -- Fourth Order
Obstacle Boundary Value Problems -- On Some Generalized Opial Type Inequalities -- Controlling the Velocity of Brownian Motion by its Terminal Value -- Chebyshev Polynomials with Integer Coefficients -- Distortion Inequalities for
Analytic and Univalent Functions Associated with Certain Fractional Calculus and Other Linear Operators
ISBN:9789401145770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 478
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Functions of real variables , Special functions , Mathematics , Real Functions , Functions of a Complex Variable , Special Functions , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-1999-9781475729870:ONLINE Show nearby items on shelf
Title:Reproducing Kernels and their Applications
Author(s):
Date:1999
Size:1 online resource (235 p.)
Note:10.1007/978-1-4757-2987-0
ISBN:9781475729870
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 3
Keywords: Mathematics , Functional analysis , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Special functions , Mathematics , Functions of a Complex Variable , Special Functions , Partial Differential Equations , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-1999-9781461332916:ONLINE Show nearby items on shelf
Title:Complex Methods for Partial Differential Equations
Author(s):
Date:1999
Size:1 online resource (334 p.)
Note:10.1007/978-1-4613-3291-6
Contents:1 A reflection principle and its applications -- 2 On some problems for first order elliptic systems in the plane -- 3 Differential-operator solutions for complex partial differential equations -- 4 On a generalized Riemann-Hilbert
boundary value problem for second order elliptic systems in the plane -- 5 Boundary value problems of the theory of generalized analytic functions -- 6 On well-posedness of problems for nonclassical systems of equations -- 7 An
application of the periodic Riemann boundary value problem to a periodic crack problem -- 8 Initial and boundary value problems for singular differential equations and applications to the theory of cusped bars and plates -- 9
Multidimensional logarithmic residues and their applications -- 10 The Neumann problem for the inhomogeneous pluriharmonic system in polydiscs -- 11 Second order Cauchy-Pompeiu representations -- 12 On a class of second order elliptic
overdetermined systems -- 13 Boundary spinors and values of holomorphic functions -- 14 Two approaches to non-commutative geometry -- 15 Some partial differential equations in Clifford analysis -- 16 Generalized monogenic functions
satisfying differential equations with anti-monogenic right-hand sides -- 17 Complex analytic method for hyperbolic equations of second order -- 18 Remarks on the solvability of Dirichlet problems in different function spaces -- 19
Complex methods in the theory of initial value problems -- 20 Optimal balls for solving fixed-point problems in Banach spaces -- 21 Wavelet transform of operators and functional calculus
ISBN:9781461332916
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 6
Keywords: Mathematics , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Functions of real variables , Mathematics , Partial Differential Equations , Integral Transforms, Operational Calculus , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Real Functions
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Call number:SPRINGER-1999-9781461332763:ONLINE Show nearby items on shelf
Title:Partial Differential and Integral Equations
Author(s):
Date:1999
Size:1 online resource (384 p.)
Note:10.1007/978-1-4613-3276-3
Contents:1 Gauss-Manin Connexion of Curve Singularities -- 2 Group Convolution Operators on Step of Two Nilpotent Lie Groups -- 3 Some Boundary Value Problems for Second Order Overdetermined Elliptic Systems in the Unit Ball of ?n -- 4
Riemann-Hilbert Boundary Value Problems in ?n -- 5 The Riemann-Hilbert Problem for Nonlinear Elliptic Complex Equations of First Order in Multiply Connected Infinite Domains -- 6 The Riemann-Hilbert Problem for First Order Complex
Equations of Mixed Type -- 7 On Totally Real Non-Compact Manifolds Globally Foliated by Analytic Discs -- 8 Boundary Behaviour of Vector-Valued Functions of Two Classes in Locally Convex Spaces -- 9 On Singular Integrals of the
Time-Harmonic Maxwell Equations Theory -- 10 Systems of First Order Partial Differential Equations — a Hypercomplex Approach -- 11 To Elliptic Theory for Domains with Piecewise Smooth Boundary in the Plane -- 12 Boundary Value Problems
for a System of First Order Equations of a Principal Type in the Plane -- 13 The Stability of the Riemann Boundary Value Problem for Vector-Valued M-Analytic Functions -- 14 A Class of Inverse Hilbert Boundary Value Problems -- 15
Cauchy Formula, Integral of Cauchy Type and Hilbert Problem for Bianalytic Functions -- 16 On Uniqueness Conditions for Entire Polyharmonic Functions -- 17 Bi-Analytic Functions and Their Applications in Elasticity -- 18 Effect of
Periodic Gasket on a Periodic Contact Problem -- 19 Singular Integral Operators and Singular Quadrature Operators for Singular Integral Equations with Hilbert Kernel -- 20 Some Co-Circular Crack Problems with Cyclic Symmetry -- 21 The
Oblique Derivative Problem for Nonlinear Parabolic Equations of Second Order with Measurable Coefficients in a Higher Dimensional Domain -- 22 Existence and Uniqueness for Boundary Value Contact Problems -- 23 Weakly Hyperbolic
Equations — a Modern Field in the Theory of Hyperbolic Equations -- 24 Eigenvalue Problems for Elliptic Type Partial Differential Operators with Spectral Parameter Contained Linearly in Boundary Conditions -- 25 On Indefinite Nonlinear
Neumann Problems -- 26 Higher Order Ordinary Differential Equations with Super-Singular Points -- 27 Applications of Methods of Integrals and Function Theory to Statistics
ISBN:9781461332763
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Society for Analysis, Applications and Computation: 2
Keywords: Mathematics , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Functions of real variables , Mathematics , Partial Differential Equations , Integral Transforms, Operational Calculus , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Real Functions
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Call number:SPRINGER-1998-9789401150361:ONLINE Show nearby items on shelf
Title:Clifford Algebras and Their Application in Mathematical Physics Aachen 1996
Author(s):
Date:1998
Size:1 online resource (447 p.)
Note:10.1007/978-94-011-5036-1
Contents:Dirac Operators and Clifford Geometry — New Unifying Principles in Particle Physics ? -- On the Hayman uniqueness problem for polyharmonic functions -- Left-linear and Nonlinear Riemann problems in Clifford analysis -- Spin structures
and harmonic spinors on nonhyperelliptic Riemann surfaces of small genera -- Decomposition of analytic hyperbolically harmonic functions -- Spin Gauge Theories: A Summary -- Manifolds with and without embeddings -- Dirac equation in
the Clifford algebra of Space -- Dirac theory from a field theoretic point of view -- On some applications of the biharmonic equation -- Spinor Particle Mechanics -- Clifford analysis and elliptic boundary value problems in unbounded
domains -- Twistors and Clifford Algebras -- How Many Essentialy Different Function Theories Exist? -- Variational Property of the Peano Kernel for Harmonicity Differences of Order p -- Clifford Analysis on the Sphere -- Type-changing
transformations of pseudo-Euclidean Hurwitz pairs, Clifford Analysis, and particle lifetimes -- Modified quaternionic analysis in ?4 -- Geometric Algebra and Lobachevski Geometry -- Generalizing the (F,G)- derivative in the sense of
Bers -- Formes quadratiques de Hardy-Weinberg et algèbres de Clifford -- On Dirac equations in curved space-times -- Some Partial Differential Equations in Clifford Analysis -- Teaching Clifford Algebra as Physical Mathematics --
Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle -- Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum -- Higher Spin and the Spacetime Algebra -- Curved Radon
Transforms in Clifford Analysis -- On a class of non-linear boundary value problems -- Pin structures and the Dirac operator on real projective spaces and quadrics -- Construction of monopoles and instantons by using spinors and the
inversion theorem -- Determinants, Manifolds with Boundary and Dirac Operators -- New dynamical equations for many particle system on the basis of multicomplex algebra
ISBN:9789401150361
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 94
Keywords: Mathematics , Associative rings , Rings (Algebra) , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Mathematical logic , Mathematics , Functions of a Complex Variable , Mathematical Logic and Foundations , Associative Rings and Algebras , Integral Transforms, Operational Calculus , Partial Differential Equations
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Call number:SPRINGER-1998-9789400708525:ONLINE Show nearby items on shelf
Title:Advanced Integration Theory
Author(s): Corneliu Constantinescu
Date:1998
Size:1 online resource (876 p.)
Note:10.1007/978-94-007-0852-5
Contents:Suggestion to the Reader -- 0 Preliminaries -- Vector Lattices -- 1.1 Ordered Vector Spaces -- 1.2 Vector Lattices -- 1.3 Substructures, Quotients, Products -- 1.4 Bands and Orthogonality -- 1.5 Homomorphisms -- 1.6 The Order Dual of
a Vector Lattice -- 1.7 Continuous Functionals -- 1.8 Order and Topology -- 1.9 Metric Spaces and Banach Spaces -- 1.10 Banach Lattices -- 1.11 Hilbert Lattices -- 1.12 Lattice Products -- Elementary Integration Theory -- 2.1 Riesz
Lattices -- 2.2 Daniell Spaces -- 2.3 The Closure of a Daniell Space -- 2.4 The Integral for a Daniell Space -- 2.5 Systems of Sets, Step Functions, and Stone Lattices -- 2.6 Positive Measures -- 2.7 Closure, Completion, and Integrals
for Positive Measure Spaces -- 2.8 Measurable Spaces and Measurability -- 2.9 Measurability versus Integrability -- 2.10 Stieltjes Functionals and Stieltjes Measures. Lebesgue Measure -- 3 Lp-Spaces -- 3.1 Classes modulo ?, and
Convergence in Measure -- 3.2 The Hölder and Minkowski Inequalities and the Lp-Spaces -- 3.3 Lp-Spaces for 0< p< ? -- 3.4 Uniform integrability and the Generalized Lebesgue Convergence Theorem -- 3.5 Localization -- 3.6 Products and
Lp? -- Real Measures -- 4.1 Nullcontinuous Functionals -- 4.2 Real Measures and Spaces of Real Measures -- 4.3 Integrals for Real Measures -- 4.4 Bounded Measures -- 4.5 Atomic and Atomless Measures -- The Radon-Nikodym Theorem.
Duality -- 5.1 Absolute Continuity -- 5.2 The Theorem of Radon-Nikodym -- 5.3 Duality for Function Spaces -- 6 The Classical Theory of Real Functions -- 6.1 Functions of Locally Finite Variation -- 6.2 Real Stieltjes Measures -- 6.3
Absolutely Continuous Functions -- 6.4 Vitali?s Covering Theorem -- 6.5 Differentiable Functions -- 6.6 Spaces of Multiply Differentiable Functions -- 6.7 Riemann-Stieltjes Integrals -- Historical Remarks -- Name Index -- Symbol Index
ISBN:9789400708525
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 454
Keywords: Mathematics , Algebra , Ordered algebraic structures , Integral transforms , Operational calculus , Measure theory , Functions of real variables , Probabilities , Mathematics , Measure and Integration , Order, Lattices, Ordered Algebraic Structures , Real Functions , Probability Theory and Stochastic Processes , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1998-9783540697022:ONLINE Show nearby items on shelf
Title:Integral Geometry, Radon Transforms and Complex Analysis Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venice, Italy, June 3–12, 1996
Author(s): Carlos A Berenstein
Date:1998
Size:1 online resource (170 p.)
Note:10.1007/BFb0096088
Contents:Randon transforms, wavelets, and applications -- Holomorphic mappings between real analytic submanifolds in complex space -- Real integral geometry and complex analysis -- Radon transforms and wave equations -- Analytic discs and the
extendibility of CR functions
ISBN:9783540697022
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1684
Keywords: Mathematics , Integral transforms , Operational calculus , Differential geometry , Mathematics , Integral Transforms, Operational Calculus , Differential Geometry
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Call number:SPRINGER-1998-9781461206330:ONLINE Show nearby items on shelf
Title:Analytical and Computational Methods of Advanced Engineering Mathematics
Author(s): Grant B Gustafson
Date:1998
Size:1 online resource (733 p.)
Note:10.1007/978-1-4612-0633-0
Contents:1 Numerical Analysis -- 1.1 The Nature of Numerical Analysis -- 1.2 Polynomial Interpolation -- 1.3 Numerical Integration and Differentiation -- 1.4 Solution of Equations -- 1.5 Inverse Functions -- 1.6 Implicit Functions -- 1.7
Numerical Summation of Infinite Series -- 2 Ordinary Differential Equations of First Order -- 2.1 The Nature of Differential Equations -- 2.2 Separable Equations -- 2.3 Linear First-Order Equations -- 2.4 Exact Equations -- 2.5
Applications to Some Second-Order Equations -- 2.6 The Initial Value Problem -- 2.7 Numerical Methods for the Initial Value Problem -- 3 Ordinary Differential Equations of Higher Order -- 3.1 Examples from Engineering and Physics --
3.2 Linear Second-Order Equations — Structure of Solutions -- 3.3 Linear Second-Order Equations with Constant Coefficients -- 3.4 Linear Second-Order Equations with Analytic Coefficients -- 3.5 Numerical Methods for Second-Order
Equations -- 3.6 Linear Equations of Order n > 2 -- 4 The Laplace Transform -- 4.1 The Nature of the Laplace Transform -- 4.2 The Laplace Transforms of Some Elementary Functions -- 4.3 Operational Rules for the Laplace Transform -- 4.4
Applications to Differential Equations -- 4.5 Applications to Systems of Differential Equations -- 5 Linear Algebra -- 5.1 Systems of Linear Equations -- 5.2 The Gauss Elimination Method -- 5.3 Vector Spaces -- 5.4 Matrices and Matrix
Algebra -- 5.5 The Fundamental Theorem of Linear Algebra -- 5.6 Determinants and Cramer’s Rule -- 5.7 Eigenvalues and Eigenvectors -- 6 Vector Analysis -- 6.1 Vector Algebra -- 6.2 Vector Calculus of Curves in Space -- 6.3 Vector
Calculus of Surfaces in Space -- 6.4 Calculus of Scalar and Vector Fields -- 6.5 Integral Theorems of Vector Calculus -- 6.6 X-Ray Diffraction and Crystal Structure -- 7 Partial Differential Equations of Mathematical Physics -- 7.1
Vibrating Strings: D’Alembert’s Wave Equation -- 7.2 Heat Diffusion in Rods: Fourier’s Heat Equation -- 7.3 Heat Diffusion in Plates -- 7.4 Steady-State Heat Diffusion in Plates: The Laplace Equation -- 7.5 Vibrations of Drums -- 7.6
Heat Diffusion in Solids -- 7.7 Steady-State Heat Diffusion in Solids -- 8 Fourier Analysis and Sturm-Liouville Theory -- 1 Fourier Series -- II Fourier Integrals -- III Sturm-Liouville Theory -- 9 Boundary Value Problems of
Mathematical Physics -- 9.1 Heat Diffusion in One Dimension -- 9.2 Vibration of Strings and Traveling Waves -- 9.3 Steady-State Diffusion of Heat in Plates -- 9.4 Transient Diffusion of Heat in Plates -- 9.5 Vibrations of Drums -- 9.6
Steady-State Diffusion of Heat in Solids -- 9.7 The Laplace Transform Method -- Appendix: Answers and Hints to Selected Exercises -- References
ISBN:9781461206330
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in Applied Mathematics: 28
Keywords: Engineering , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Computer mathematics , Engineering , Appl.Mathematics/Computational Methods of Engineering , Applications of Mathematics , Analysis , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-1997-9789401156264:ONLINE Show nearby items on shelf
Title:Microlocal Analysis and Spectral Theory
Author(s):
Date:1997
Size:1 online resource (444 p.)
Note:10.1007/978-94-011-5626-4
Contents:Linear Partial Differential Equations with Multiple Involutive Characteristics -- Gevrey and Analytic Hypoellipticity -- Higher Microlocalization and Propagation of Singularities -- Conormality and Lagrangian Properties in Diffractive
Boundary Value Problems -- Parametrized Pseudodifferential Operators and Geometric Invariants -- Boundary Value Problems and Edge Pseudo-differential Operators -- Wodzicki’s Noncommutative Residue and Traces for Operator Algebras on
Manifolds with Conical Singularities -- Lower Bounds for Pseudodifferential Operators -- Weyl Formula For Globally Hypoelliptic Operator in Rn -- Splitting in large dimension and infrared estimates -- Microlocal Exponential Estimates
and Applications to Tunneling -- A trace formula and review of some estimates for resonances
ISBN:9789401156264
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 490
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Quantum physics , Mathematics , Partial Differential Equations , Global Analysis and Analysis on Manifolds , Quantum Physics , Operator Theory , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1997-9781461241300:ONLINE Show nearby items on shelf
Title:Fractional Analysis Methods of Motion Decomposition
Author(s): Igor V Novozhilov
Date:1997
Size:1 online resource (232 p.)
Note:10.1007/978-1-4612-4130-0
Contents:I Dimensional analysis and small parameters -- 1 Dimensional analysis -- 2 Introduction of small parameters -- II Regularly perturbed systems. Expansions of solutions -- 3 The Poincaré theorem. The algorithm of expansion -- 4
Applications of the Poincaré theorem -- 5 Poincaré - Lyapunov method -- 5.1 Algorithm of the method -- 5.2 Examples. Nonisochronism of nonlinear system oscillations -- III Decomposition of motion in systems with fast phase -- 6 Method
of averaging in systems with a single fast phase -- 7 Applications of the method of averaging -- 8 Method of harmonic linearization -- 9 Method of averaging in systems with several fast phases -- 10 Averaging in systems without
explicit periodicities -- IV Decomposition of motion in systems with boundary layer -- 11 Tikhonov theorem -- 12 Application of the Tikhonov theorem -- 13 Asymptotic expansion of solutions for systems with a boundary layer -- V
Decomposition of motion in systems with discontinuous characteristics -- 14 Definition of a solution in discontinuity points -- 15 Examples -- VI Correctness of limit models -- 16 Limit model of holonomic constraint (absolutely rigid
body) -- 17 Limit model of kinematic constraints -- 18 Limit model of servoconstraint -- 19 Precession and nutation models in gyro theory -- 20 Mathematical model of a “man — artificial-kidney” system -- 21 Approximate models of an
aircraft motion -- 22 Automobile motion decomposition -- References -- Author Index
ISBN:9781461241300
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Fourier analysis , Integral transforms , Operational calculus , Functions of real variables , Applied mathematics , Engineering mathematics , Physics , Mechanical engineering , Mathematics , Fourier Analysis , Applications of Mathematics , Mechanical Engineering , Mathematical Methods in Physics , Real Functions , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1996-9789401154246:ONLINE Show nearby items on shelf
Title:Distortion Theorems in Relation to Linear Integral Operators
Author(s): Yûsaku Komatu
Date:1996
Size:1 online resource (312 p.)
Note:10.1007/978-94-011-5424-6
Contents:0. Introduction -- § 1. Overview -- I. Integral Operators -- 1. Basic integral operators -- 2. Properties of integral operators -- 3. Applications -- II. Distortion Theorems -- 4. Distortions on univalent functions -- 5. Distortions
on real part -- 6. Distortions on miscellaneous functionals -- References -- Index of names -- Index of topics — containing symbols
ISBN:9789401154246
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 385
Keywords: Mathematics , Functions of complex variables , Integral transforms , Operational calculus , Operator theory , Mathematics , Functions of a Complex Variable , Integral Transforms, Operational Calculus , Operator Theory
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Call number:SPRINGER-1996-9789400902831:ONLINE Show nearby items on shelf
Title:Trigonometric Fourier Series and Their Conjugates
Author(s): Levan Zhizhiashvili
Date:1996
Size:1 online resource (308 p.)
Note:10.1007/978-94-009-0283-1
Contents:Preface -- 1 Simple Trigonometric Series -- I. The Conjugation Operator and the Hilbert Transform -- II. Pointwise Convergence and Summability of Trigonometric Series -- III. Convergence and Summability of Trigonometric Fourier Series
and Their Conjugates in the Spaces $$L^p \left( T \right),p \in \left] {0, + \infty } \right[$$ -- IV. Some Approximating Properties of Cesaro Means of the Series $$ \sigma \left[ f \right] $$ and $$ \bar \sigma \left[ f \right] $$ --
2 Multiple Trigonometric Series -- I. Conjugate Functions and Hilbert Transforms of Functions of Several Variables -- II. Convergence and Summability at a Point or Almost Everywhere of Multiple Trigonometric Fourier Series and Their
Conjugates -- III. Some Approximating Properties of n-Fold Cesaro Means of the Series $$ \sigma _n \left[ f \right] $$ and $$ \sigma _n \left[ {f,B} \right] $$ -- IV. Convergence and Summability of Multiple Trigonometric Fourier Series
and Their Conjugates in the Spaces $$ L^p \left( {T^n } \right),p \in \left] {0, + \infty } \right] $$ -- V. Summability of Series $$ \sigma _2 \left[ f \right] $$ and $$ \bar \sigma _2 \left[ {f,B} \right] $$ by a Method of the
Marcinkiewicz Type
ISBN:9789400902831
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 372
Keywords: Mathematics , Approximation theory , Fourier analysis , Integral transforms , Operational calculus , Functions of real variables , Sequences (Mathematics) , Mathematics , Fourier Analysis , Approximations and Expansions , Integral Transforms, Operational Calculus , Sequences, Series, Summability , Real Functions
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Call number:SPRINGER-1996-9789400901575:ONLINE Show nearby items on shelf
Title:Algebraic Structures and Operator Calculus Volume III: Representations of Lie Groups
Author(s): Philip Feinsilver
Date:1996
Size:1 online resource (230 p.)
Note:10.1007/978-94-009-0157-5
Contents:I. General remarks -- II. Notations -- III. Lie algebras: some basics -- 1 Operator calculus and Appell systems -- I. Boson calculus -- II. Holomorphic canonical calculus -- III. Canonical Appell systems -- 2 Representations of Lie
groups -- I. Coordinates on Lie groups -- II. Dual representations -- III. Matrix elements -- IV. Induced representations and homogeneous spaces -- 3 General Appell systems -- I. Convolution and stochastic processes -- II. Stochastic
processes on Lie groups -- III. Appell systems on Lie groups -- 4 Canonical systems in several variables -- I. Homogeneous spaces and Cartan decompositions -- II. Induced representation and coherent states -- III. Orthogonal
polynomials in several variables -- 5 Algebras with discrete spectrum -- I. Calculus on groups: review of the theory -- II. Finite-difference algebra -- III. q-HW algebra and basic hypergeometric functions -- IV. su2 and Krawtchouk
polynomials -- V. e2 and Lommel polynomials -- 6 Nilpotent and solvable algebras -- I. Heisenberg algebras -- II. Type-H Lie algebras -- III. Upper-triangular matrices -- IV. Affine and Euclidean algebras -- 7 Hermitian symmetric
spaces -- I. Basic structures -- II. Space of rectangular matrices -- III. Space of skew-symmetric matrices -- IV. Space of symmetric matrices -- 8 Properties of matrix elements -- I. Addition formulas -- II. Recurrences -- III.
Quotient representations and summation formulas -- 9 Symbolic computations -- I. Computing the pi-matrices -- II. Adjoint group -- III. Recursive computation of matrix elements -- IV. Symbolic computation of Appell systems -- MAPLE
output and procedures -- References
ISBN:9789400901575
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 347
Keywords: Mathematics , Computer science , Computers , Nonassociative rings , Rings (Algebra) , Integral transforms , Operational calculus , Operator theory , Special functions , Mathematics , Special Functions , Computer Science, general , Theory of Computation , Integral Transforms, Operational Calculus , Operator Theory , Non-associative Rings and Algebras
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Call number:SPRINGER-1996-9781475756579:ONLINE Show nearby items on shelf
Title:Linear Difference Equations with Discrete Transform Methods
Author(s): Abdul J Jerri
Date:1996
Size:1 online resource (442 p.)
Note:10.1007/978-1-4757-5657-9
Contents:1 Sequences and Difference Operators -- 2 Sum Calculus and the Discrete Transforms Methods -- 3 Basic Methods of Solving Linear Difference Equations -- 4 Discrete Fourier Transforms -- 5 The Discrete Sine (DST) and Cosine (DCT)
Transforms for Boundary Value Problems -- 6 The z-Transform for Initial Value Problems -- 7 Modeling with Difference Equations -- References -- Answers to Exercises -- Index of Notations
ISBN:9781475756579
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 363
Keywords: Mathematics , Difference equations , Functional equations , Integral transforms , Operational calculus , Computer mathematics , Mathematical models , Mathematics , Difference and Functional Equations , Computational Mathematics and Numerical Analysis , Integral Transforms, Operational Calculus , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-1996-9781461312833:ONLINE Show nearby items on shelf
Title:Integral Transformations, Operational Calculus, and Generalized Functions
Author(s): R. G Buschman
Date:1996
Size:1 online resource (240 p.)
Note:10.1007/978-1-4613-1283-3
ISBN:9781461312833
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 377
Keywords: Mathematics , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1995-9789401585774:ONLINE Show nearby items on shelf
Title:Approximation Theory, Wavelets and Applications
Author(s):
Date:1995
Size:1 online resource (572 p.)
Note:10.1007/978-94-015-8577-4
Contents:A Class of Interpolating Positive Linear Operators: Theoretical and Computational Aspects -- Quasi-Interpolaton -- Approximation and Interpolation on Spheres -- Exploring Covariance, Consistency and Convergence in Pade Approximation
Theory -- Dykstra’s Cyclic Projections Algorithm: The Rate of Convergence -- Interpolation From a Convex Subset of Hilbert Space: A Survey of Some Recent Results -- The Angle Between Subspaces of a Hilbert Space -- Neville Elimination
and Approximation Theory -- Approximation With Weights, the Chebyshev Measure and the Equilibrium Measure -- A One-Parameter Class of B-Splines -- Interpolation on the Triangle and Simplex -- Knot Removal for Scattered Data -- Error
Estimates for Approximation by Radial Basic Functions -- Wavelets on the Interval -- Best Approximations and Fixed Point Theorems -- How to Approximate the Inverse Operator -- On Some Averages of Trigonometric Interpolating Operators
-- On the Zeros Localization of K > 2 Consecutive Orthogonal Polynomials and of Their Derivatives -- Can Irregular Subdivisions Preserve Convexity? -- On Functions Approximation by Shepard-Type Operators — A Survey -- Wavelet
Respresentation of the Potential Integral Equations -- Liapunov Theorem in Approximation Theory -- On the Order Monotonicity of the Metric Projection Operator -- Pointwise Estimates for Multivariate Interpolation Using Conditionally
Positive Definite Functions -- Experiments With a Wavelet Based Image Denoising Method -- Proximity Maps: Some Continuity Results -- Non-Smooth Wavelets: Graphing Functions Unbounded on Every Interval -- On the Possible Wavelet Packets
Orthonormal Bases -- A Case Study in Multivariate Lagrange Interpolation -- Trigonometric Wavelets for Time-Frequency-Analysis -- Interpolating Subspaces in Rn -- Multivariate Periodic Interpolating Wavelets -- Finite Element
Multiwavelets -- Polynomial Wavelets on [-1,1] -- On the Solution of Discretely Given Fredholm Integral Equations Over Lines -- De-Noising Using Wavelets and Cross Validation -- On the Construction of Two Dimensional Spatial Varying
FIR Filter Banks With Perfect Reconstruction -- Recursions for Tchebycheff B-Splines and Their Jumps -- Quasi-Interpolation on Compact Domains -- Eigenvalues and Nonlinear Volterra Equations
ISBN:9789401585774
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO Science Series, Series C: Mathematical and Physical Sciences: 454
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Functional analysis , Integral transforms , Operational calculus , Operator theory , Mathematics , Approximations and Expansions , Analysis , Mathematics, general , Integral Transforms, Operational Calculus , Functional Analysis , Operator Theory
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Call number:SPRINGER-1995-9789401103756:ONLINE Show nearby items on shelf
Title:Banach Space Complexes
Author(s):
Date:1995
Size:1 online resource (213 p.)
Note:10.1007/978-94-011-0375-6
Contents:I Preliminaries -- II Semi-Fredholm complexes -- III Related topics -- Notations
ISBN:9789401103756
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 334
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Functions of complex variables , Mathematics , Operator Theory , Functional Analysis , Integral Transforms, Operational Calculus , Partial Differential Equations , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1995-9789401102131:ONLINE Show nearby items on shelf
Title:Ramified Integrals, Singularities and Lacunas
Author(s): V. A Vassiliev
Date:1995
Size:1 online resource (294 p.)
Note:10.1007/978-94-011-0213-1
Contents:I. Picard—Lefschetz—Pham theory and singularity theory -- § 1. Gauss-Manin connection in the homological bundles. Monodromy and variation operators -- § 2. The Picard-Lefschetz formula. The Leray tube operator -- § 3. Local monodromy
of isolated singularities of holomorphic functions -- § 4. Intersection form and complex conjugation in the vanishing homology of real singularities in two variables -- § 5. Classification of real and complex singularities of functions
-- § 6. Lyashko-Looijenga covering and its generalizations -- § 7. Complements of discriminants of real simple singularities (after E. Looijenga) -- § 8. Stratifications. Semialgebraic, semianalytic and subanalytic sets -- § 9. Pham’s
formulae -- § 10. Monodromy of hyperplane sections -- § 11. Stabilization of local monodromy and variation of hyperplane sections close to strata of positive dimension (stratified Picard-Lefschetz theory) -- § 12. Homology of local
systems. Twisted Picard-Lefschetz formulae -- § 13. Singularities of complete intersections and their local monodromy groups -- II. Newton’s theorem on the nonintegrability of ovals -- § 1. Stating the problems and the main results --
§ 2. Reduction of the integrability problem to the (generalized) PicardLefschetz theory -- § 3. The element “cap” -- § 4. Ramification of integration cycles close to nonsingular points. Generating functions and generating families of
smooth hypersurfaces -- § 5. Obstructions to integrability arising from the cuspidal edges. Proof of Theorem 1.8 -- § 6. Obstructions to integrability arising from the asymptotic hyperplanes. Proof of Theorem 1.9 -- § 7. Several open
problems -- III. Newton’s potential of algebraic layers -- § 1. Theorems of Newton and Ivory -- § 2. Potentials of hyperbolic layers are polynomial in the hyperbolicity domains (after Arnold and Givental) -- § 3. Proofs of Main
Theorems 1 and 2 -- § 4. Description of the small monodromy group -- § 5. Proof of Main Theorem 3 -- IV. Lacunas and the local Petrovski$$ \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{I} $$ condition for hyperbolic
differential operators with constant coefficients -- § 0. Hyperbolic polynomials -- § 1. Hyperbolic operators and hyperbolic polynomials. Sharpness, diffusion and lacunas -- § 2. Generating functions and generating families of wave
fronts for hyperbolic operators with constant coefficients. Classification of the singular points of wave fronts -- § 3. Local lacunas close to nonsingular points of fronts and to singularities A2, A3 (after Davydova, Borovikov and
Gárding) -- § 4. Petrovskii and Leray cycles. The Herglotz-Petrovskii—Leray formula and the Petrovskii condition for global lacunas -- § 5. Local Petrovskii condition and local Petrovskii cycle. The local Petrovskii condition implies
sharpness (after Atiyah, Bott and Gárding) -- § 6. Sharpness implies the local Petrovskii condition close to discrete-type points of wave fronts of strictly hyperbolic operators -- § 7. The local Petrovskii condition may be stronger
than the sharpness close to singular points not of discrete type -- § 8. Normal forms of nonsharpness close to singularities of wave fronts (after A.N. Varchenko) -- § 9. Several problems -- V. Calculation of local Petrovski$$
\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{I} $$ cycles and enumeration of local lacunas close to real function singularities -- § 1. Main theorems -- § 2. Local lacunas close to singularities from the
classification tables -- § 3. Calculation of the even local Petrovskii class -- § 4. Calculation of the odd local Petrovskii class -- § 5. Stabilization of the local Petrovskii classes. Proof of Theorem 1.5 -- § 6. Local lacunas close
to simple singularities -- § 7. Geometrical criterion for sharpness close to simple singularities -- § 8. A program for counting topologically different morsifications of a real singularity -- § 9. More detailed description of the
algorithm -- Appendix: a FORTRAN program searching for the lacunas and enumerating the morsifications of real function singularities
ISBN:9789401102131
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 315
Keywords: Mathematics , Algebraic geometry , Integral transforms , Operational calculus , Partial differential equations , Potential theory (Mathematics) , Manifolds (Mathematics) , Complex manifolds , Mathematics , Integral Transforms, Operational Calculus , Algebraic Geometry , Partial Differential Equations , Manifolds and Cell Complexes (incl. Diff.Topology) , Potential Theory
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Call number:SPRINGER-1995-9789401101417:ONLINE Show nearby items on shelf
Title:Harmonic Analysis in China
Author(s):
Date:1995
Size:1 online resource (310 p.)
Note:10.1007/978-94-011-0141-7
Contents:On Lpestimates of the Cauchy-Riemann equations -- Recent progress in Hardy spaces on manifolds -- Calderon-Zygmund operator theory and function spaces -- Hptheory on compact Lie groups -- The unitary dual of the covering groups of
GL(n) over a local field -- Casimir Operator and Wavelet transform -- Oscillatory singular integrals with rough kernel -- The minimal decay of matrix coefficients for classical groups -- Application of harmonic analysis in geophysics
-- Bivariate box-spline wavelets -- On martingale spaces and inequalities -- Uniform weak (1,1) bounds for oscillatory singular integrals -- Paracommutators and Hankel operators -- Operators-derivatives-spaces-differential equations on
locally compact Vilenkin groups -- On selfsimilarity of functions -- Harmonic analysis on compact Lie groups and compact homogeneous spaces in China -- Harmonic analysis on bounded symmetric domains
ISBN:9789401101417
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 327
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Harmonic analysis , Fourier analysis , Integral transforms , Operational calculus , Operator theory , Functions of complex variables , Mathematics , Analysis , Abstract Harmonic Analysis , Operator Theory , Fourier Analysis , Integral Transforms, Operational Calculus , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-1994-9789401712590:ONLINE Show nearby items on shelf
Title:Differential Equations on Complex Manifolds
Author(s): Boris Sternin
Date:1994
Size:1 online resource (508 p.)
Note:10.1007/978-94-017-1259-0
Contents:1 Some Questions of Analysis and Geometry of Complex Manifolds -- 2 Symplectic and Contact Structures -- 3 Integral Transformations of Ramified Analytic Functions -- 4 Laplace-Radon Integral Operators -- 5 Cauchy Problem in Spaces of
Ramified Functions -- 6 Continuation of Solutions to Elliptic Equations
ISBN:9789401712590
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 276
Keywords: Mathematics , Integral transforms , Operational calculus , Partial differential equations , Functions of complex variables , Mathematics , Partial Differential Equations , Several Complex Variables and Analytic Spaces , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1994-9789401583602:ONLINE Show nearby items on shelf
Title:Stability Theorems in Geometry and Analysis
Author(s): Yu. G Reshetnyak
Date:1994
Size:1 online resource (394 p.)
Note:10.1007/978-94-015-8360-2
Contents:1. Introduction -- 2. Möbius Transformations -- 3. Integral Representations and Estimates for Differentiable Functions -- 4. Stability in Liouville’s Theorem on Conformal Mappings in Space -- 5. Stability of Isometric Transformations
of the Space ?n -- 6. Stability in Darboux’s Theorem -- 7. Differential Properties of Mappings with Bounded Distortion and Conformal Mappings of Riemannian Spaces -- References
ISBN:9789401583602
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 304
Keywords: Mathematics , Topological groups , Lie groups , Integral equations , Integral transforms , Operational calculus , Geometry , Calculus of variations , Mathematics , Integral Transforms, Operational Calculus , Integral Equations , Geometry , Calculus of Variations and Optimal Control Optimization , Topological Groups, Lie Groups
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Call number:SPRINGER-1994-9789401111966:ONLINE Show nearby items on shelf
Title:The Hypergeometric Approach to Integral Transforms and Convolutions
Author(s): Semen B Yakubovich
Date:1994
Size:1 online resource (324 p.)
Note:10.1007/978-94-011-1196-6
Contents:1 Preliminaries -- 1.1 Some special functions -- 1.2 Integral transforms -- 2 Mellin Convolution Type Transforms With Arbitrary Kernels -- 2.1 General Fourier kernels -- 2.2 Examples of the Fourier kernels -- 2.3 Watson type kernels
-- 2.4 Bilateral Watson transforms -- 2.5 Multidimensional Watson transforms -- 3 H- and G-transforms -- 3.1 Mellin convolution type transform with Fox’s H-function as a kernel -- 3.2 Mellin convolution type transforms with Meijer’s
G-function as a kernel -- 3.3 The Erdelyi-Kober fractional integration operators -- 4 The Generalized H- and G-transforms -- 4.1 The generalized H-transform -- 4.2 The generalized G-transform -- 4.3 Composition structure of generalized
H- and G-transforms -- 5 The Generating Operators of Generalized H-transforms -- 5.1 Generating operators in the space ?Mc,??1 -- 5.2 Examples of the generating operators -- 6 The Kontorovich-Lebedev Transform -- 6.1 The
Kontorovich-Lebedev transform: notion, existence and inversion theorems in Mc,??1 (L) spaces -- 6.2 The Kontorovich-Lebedev transform in weighted L-spaces -- 6.3 The Kontorovich-Lebedev transform in weighted L2 spaces -- 6.4 The
Kontorovich-Lebedev transform of distributions -- 6.5 The Kontorovich-Lebedev transform in Lp-spaces -- 7 General W-transform and its Particular Cases -- 7.1 General G-transform with respect to an index of the Kontorovich-Lebedev type
-- 7.2 General W-transform and its composition structure -- 7.3 Some particular cases of W-transform and their properties -- 7.4 F3-transform -- 7.5 L2-theory of the Kontorovich-Lebedev type index transforms -- 8 Composition Theorems
of Plancherel Type for Index Transforms -- 8.1 Compositions with symmetric weight -- 8.2 Compositions with non-symmetric weight -- 8.3 Constructions of index transforms in terms of Mellin integrals -- 9 Some Examples of Index
Transforms and Their New Properties -- 9.1 The Kontorovich-Lebedev like composition transforms -- 9.2 Some index transforms with symmetric kernels -- 9.3 The $$ \Re $$ and $$ \Im - $$ index transforms -- 10 Applications to Evaluation
of Index Integrals -- 10.1 Some useful representations and identities -- 10.2 Some general index integrals -- 11 Convolutions of Generalized H-transforms -- 11.1 H-convolutions -- 11.2 Examples of H-convolutions -- 12 Generalization of
the Notion of Convolution -- 12.1 Generalized H-convolutions -- 12.2 Generalized G-convolutions -- 13 Leibniz Rules and Their Integral Analogues -- 13.1 General Leibniz rules -- 13.2 Modified Leibniz rule -- 13.3 Leibniz rule for the
Erdelyi-Kober fractional differential operator -- 13.4 Modification of the Leibniz rule for the Erdelyi-Kober fractional differential operator -- 13.5 Integral analogues of Leibniz rules -- 14 Convolutions of Generating Operators --
14.1 Convolutions in the Dimovski sense. General results -- 14.2 Examples of convolutions in the Dimovski sense -- 15 Convolution of the Kontorovich-Lebedev Transform -- 15.1 Definition and some properties of a convolution for the
Kontorovich-Lebedev transform -- 15.2 The basic property of convolution. Analogues with the Parseval equality -- 15.3 On the inversion of the Kontorovich-Lebedev transform in the ring L? -- 15.4 The space L? as the commutative normed
ring of functions with exponential growth -- 16 Convolutions of the General Index Transforms -- 16.1 Convolutions of the Kontorovich-Lebedev type transforms -- 16.2 The convolutions for the Mehler-Fock and the Lebedev-Skalskaya
transforms -- 16.3 The convolution of the Wimp-Yakubovich type index transform -- 17 Applications of the Kontorovich-Lebedev type Convolutions to Integral Equations -- 17.1 Kontorovich-Lebedev convolution equations of the second kind
-- 17.2 General composition convolution equations -- 17.3 Some results on the homogeneous equation -- 18 Convolutional Ring C? -- 18.1 Multiple Erdelyi-Kober fractional integrodifferential operators -- 18.2 Convolutional ring C? -- 19
The Fields of the Convolution Quotients -- 19.1 Extension of the ring (C?,?*,+) -- 19.2 Extension of the ring (L?,*,+) -- 20 The Cauchy Problem for Erdelyi-Kober Operators -- 20.1 General scheme -- 20.2 Differential equations of
fractional order -- 20.3 Differential equations of hyper-Bessel type -- 21 Operational Method of Solution of some Convolution Equations -- 21.1 Integral equations of Volterra type -- 21.2 Integral equations of second kind with
Kontorovich-Lebedev convolution -- References -- Author Index -- Notations
ISBN:9789401111966
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 287
Keywords: Mathematics , Integral equations , Integral transforms , Operational calculus , Special functions , Mathematics , Integral Transforms, Operational Calculus , Special Functions , Integral Equations
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Call number:SPRINGER-1994-9780585280035:ONLINE Show nearby items on shelf
Title:Algebraic Structures and Operator Calculus Volume II: Special Functions and Computer Science
Author(s): Philip Feinsilver
Date:1994
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource (150 p.)
Note:10.1007/978-0-585-28003-5
Contents:Basic Data Structures -- Data Structures & Orthogonal Polynomials -- Applications of Bessel Functions and Lommel Polynomials -- Fourier Transform on Finite Groups and Related Transforms -- Young Tableaux and Combinatorial Enumeration
in Parallel Processing
ISBN:9780585280035
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 292
Keywords: Mathematics , Computer science , Computers , Nonassociative rings , Rings (Algebra) , Integral transforms , Operational calculus , Operator theory , Special functions , Mathematics , Special Functions , Computer Science, general , Theory of Computation , Integral Transforms, Operational Calculus , Operator Theory , Non-associative Rings and Algebras
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Call number:SPRINGER-1993-9789401728836:ONLINE Show nearby items on shelf
Title:Representation of Lie Groups and Special Functions Volume 2: Class I Representations, Special Functions, and Integral Transforms
Author(s): N. Ja Vilenkin
Date:1993
Size:1 online resource (608 p.)
Note:10.1007/978-94-017-2883-6
Contents:9: Special Functions Connected with SO(n) and with Related Groups -- 10: Representations of Groups, Related to SO(n ? 1), in Non-Canonical Bases, Special Functions, and Integral Transforms -- 11: Special Functions Connected with the
Groups U(n), U(0?1,1) and IU(n ? 1) -- 12: Representations of the Heisenberg Group and Special Functions -- 13: Representations of the Discrete Groups and Special Functions of Discrete Argument
ISBN:9789401728836
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications, Soviet Series: 74
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Integral transforms , Operational calculus , Special functions , Physics , Mathematics , Special Functions , Abstract Harmonic Analysis , Topological Groups, Lie Groups , Theoretical, Mathematical and Computational Physics , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1993-9789401712156:ONLINE Show nearby items on shelf
Title:Degenerate Elliptic Equations
Author(s): Serge Levendorskii
Date:1993
Size:1 online resource (436 p.)
Note:10.1007/978-94-017-1215-6
Contents:0 Introduction -- 1 General Calculus of Pseudodifferential Operators -- 2 Model Classes of Degenerate Elliptic Differential Operators -- 3 General Classes of Degenerate Elliptic Differential Operators -- 4 Degenerate Elliptic
Operators in Non — Power — Like Degeneration Case -- 5 Lp — Theory for Degenerate Elliptic Operators -- 6 Coersiveness of Degenerate Quadratic Forms -- 7 Some Classes of Hypoelliptic Pseudodifferential Operators on Closed Manifold -- 8
Algebra of Boundary Value Problems for Class of Pseudodifferential Operators which Change Order on the Boundary -- 9 General Schemes of Investigation of Spectral Asymptotics for Degenerate Elliptic Equations -- 10 Spectral Asymptotics
of Degenerate Elliptic Operators -- 11 Spectral Asymptotics of Hypoelliptic Operators with Multiple Characteristics -- A Brief Review of the Bibligraphy -- Index of Notation
ISBN:9789401712156
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 258
Keywords: Mathematics , Integral equations , Integral transforms , Operational calculus , Partial differential equations , Quantum physics , Vibration , Dynamical systems , Dynamics , Mathematics , Partial Differential Equations , Vibration, Dynamical Systems, Control , Quantum Physics , Integral Transforms, Operational Calculus , Integral Equations
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Call number:SPRINGER-1993-9789401118880:ONLINE Show nearby items on shelf
Title:Semigroups of Linear and Nonlinear Operations and Applications Proceedings of the Curaçao Conference, August 1992
Author(s):
Date:1993
Size:1 online resource (283 p.)
Note:10.1007/978-94-011-1888-0
Contents:A Survey of Semigroups of Linear Operators and Applications -- Nonlinear Semigroups and Applications -- A Bifucation Problem for Point Interactions in L1(IR3) -- Semipositone Problems -- A Generation Result for C-regularized
Semigroups -- Smoothing Properties of Heat Semigroups in Infinite Dimensions -- Locally Stable Dynamics for Reaction-Diffusion Systems -- Global Dynamics of Singularly Perturbed Hodgkin-Huxley Equations -- On Strongly Elliptic
Differential Operators on L1(IRn) -- Stability and Local Invariant Manifolds in Fully Nonlinear Parabolic Equations -- Fractional Integrals and Semigroups -- Spectral and Asymptotic Properties of Strongly Continuous Semigroups --
Continuation for Quasiholomorphic Semigroups -- Global Existence for a Reaction-Diffusion System with a Balance Law -- Convexity of the Growth Bound of C0-semigroups of Operators
ISBN:9789401118880
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Applied mathematics , Engineering mathematics , Mathematics , Operator Theory , Functional Analysis , Partial Differential Equations , Integral Transforms, Operational Calculus , Applications of Mathematics
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Call number:SPRINGER-1993-9781461579090:ONLINE Show nearby items on shelf
Title:Stochastic Processes A Festschrift in Honour of Gopinath Kallianpur
Author(s):
Date:1993
Size:1 online resource (367 p.)
Note:10.1007/978-1-4615-7909-0
Contents:A remark on the support of cadlag processes -- Large deviation results for branching processes -- Random iterations of two quadratic maps -- Zero-one law for semigroups of measures on groups -- Multiplicity properties of stationary
second order random fields -- Multiple time scale analysis of hierarchically interacting systems -- Feynman’s operational calculus as a generalized path integral -- Forward and backward equations for an adjoint process -- The
transition function of a measure-valued branching diffusion with immigration -- Scattering theory for unitary cocycles -- Sur les variations des fonctions aléatoires Gaussiennes -- Random allocation methods in an epidemic model -- On
Hellinger transforms for solutions of martingale problems -- The homogeneous chaos over compact Lie groups -- Asymptotics for two-dimensional anisotropic random walks -- A role of the Lévy Laplacian in the causal calculus of
generalized white noise functionals -- On the approximation of multiple Stratonovich integrals -- Two examples of parameter estimation for stochastic partial differential equations -- Computer simulation of ?-stable Ornstein-Uhlenbeck
processes -- Some linear random functional characterized by Lp-symmetries -- Higher order approximate Markov chain filters -- Fourier transform and cylindrical Hida distributions -- Representation and stability of nonlinear filters
associated with Gaussian noises -- On central limit theory for families of strongly mixing additive random functions -- Positive generalized functions on infinite dimensional space -- Strong solutions of stochastic bilinear equations
with anticipating drift in the first Wiener chaos -- Structure of periodically distributed stochastic sequences -- Markov property of measure-indexed Gaussian random fields -- Relative entropy as a countably additive measure --
Probability bounds, multivariate normal distribution and an integro-diflferential inequality for random vectors -- On the gauge for the third boundary value problem -- A note on prediction and an autoregressive sequence -- On
generalized stochastic partial differential equations -- Examples of self similar stable processes -- Green operators of absorbing Levy processes on the half line -- Moments of sums of independent random variables -- Relative entropy
and hydrodynamic limits -- Donsker’s ?-function and its applications in the theory of white noise analysis -- A fractional calculus on Wiener space -- Inequalities for products of white noise functionals -- A note on the consistency of
M-estimates in linear models
ISBN:9781461579090
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes
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Call number:SPRINGER-1993-9781461203155:ONLINE Show nearby items on shelf
Title:Integrable Systems The Verdier Memorial Conference Actes du Colloque International de Luminy
Author(s):
Date:1993
Size:1 online resource (370 p.)
Note:10.1007/978-1-4612-0315-5
Contents:Hommage à Jean-Louis Verdier: au jardin des systèmes intégrables -- I. Algebro-Geometric Methods and ?-Functions -- Compactified Jacobians of Tangential Covers -- Heisenberg Action and Verlinde Formulas -- Hyperelliptic Curves that
Generate Constant Mean Curvature Tori in ?3 -- Modular Forms as ?-Functions for Certain Integrable Reductions of the Yang-Mills Equations -- The ?-Functions of the gAKNS Equations -- On Segal-Wilson’s Definition of the ?-Function and
Hierarchies AKNS-D and mcKP -- The Boundary of Isospectral Manifolds, Bäcklund Transforms and Regularization -- II. Hamiltonian Methods -- The Geometry of the Full Kostant-Toda Lattice -- Deformations of a Hamiltonian Action of a
Compact Lie Group -- Linear-Quadratic Metrics “Approximate” any Nondegenerate, Integrable Riemannian Metric on the 2-Sphere and the 2-Torus -- Canonical Forms for Bihamiltonian Systems -- Bihamiltonian Manifolds and Sato’s Equations --
III. Solvable Lattice Models -- Generalized Chiral Potts Models and Minimal Cyclic Representations of $${U_q}(\widehat{gl}(n,C))$$) -- Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional
Generalizations -- IV. Topological Field Theory -- Integrable Systems and Classification of 2-Dimensional Topological Field Theories -- List of Participants
ISBN:9781461203155
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 115
Keywords: Mathematics , Algebra , Integral transforms , Operational calculus , Mathematics , General Algebraic Systems , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1992-9789401728812:ONLINE Show nearby items on shelf
Title:Representation of Lie Groups and Special Functions Volume 3: Classical and Quantum Groups and Special Functions
Author(s): N. Ja Vilenkin
Date:1992
Size:1 online resource (634 p.)
Note:10.1007/978-94-017-2881-2
Contents:14: Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions -- 15: Semisimple Lie Groups and Related Homogeneous Spaces -- 16: Representations of Semisimple Lie Groups and Their Matrix Elements -- 17: Group
Representations and Special Functions of a Matrix Argument -- 18: Representations in the Gel’fand-Tsetlin Basis and Special Functions -- 19: Modular Forms, Theta Functions and Representations of Affine Lie Algebras -- Bibliography
Notes
ISBN:9789401728812
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 75
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Integral transforms , Operational calculus , Special functions , Mathematics , Special Functions , Abstract Harmonic Analysis , Topological Groups, Lie Groups , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1992-9789401124249:ONLINE Show nearby items on shelf
Title:The Mellin Transformation and Fuchsian Type Partial Differential Equations
Author(s): Zofia Szmydt
Date:1992
Size:1 online resource (222 p.)
Note:10.1007/978-94-011-2424-9
Contents:I. Introduction -- §1. Terminology and notation -- §2. Elementary facts on complex topological vector spaces -- Exercise -- §3. A review of basic facts in the theory of distributions -- Exercises -- II. Mellin distributions and the
Mellin transformation -- §4. The Fourier and the Fourier-Mellin transformations -- Exercises -- §5. The spaces of Mellin distributions with support in a polyinterval -- Exercises -- §6. Operations of multiplication and differentiation
in the space of Mellin distributions -- Exercises -- §7. The Mellin transformation in the space of Mellin distributions -- Exercises -- §8. The structure of Mellin distributions -- Exercises -- §9. Paley-Wiener type theorems for the
Mellin transformation -- Exercises -- §10. Mellin transforms of cut-off functions (continued) -- Exercises -- §11. Important subspaces of Mellin distributions -- Exercises -- §12. The modified Cauchy transformation -- Exercises -- III.
Fuchsian type singular operators -- §13. Fuchsian type ordinary differential operators -- Exercises -- §14. Elliptic Fuchsian type partial differential equations in spaces % MathType!MTEF!2!1!+- %
feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x %
fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiuaiaacI % cacaWG4bWaaSaaaeaacaWGKbaabaGaamizaiaadIhaaaGaaiykaiaa % dwhacqGH9aqpcaWGMbaaaa!3EE9!$$ P(x\frac{d}{{dx}})u = f $$ -- 2. Case of a proper cone -- Exercise -- §15. Fuchsian type
partial differential equations in spaces with continuous radial asymptotics -- Appendix. Generalized smooth functions and theory of resurgent functions of Jean Ecalle -- 1. Introduction -- 2. Generalized Taylor expansions -- 3. Algebra
of resurgent functions of Jean Ecalle -- 4. Applications -- List of Symbols
ISBN:9789401124249
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (East European Series): 56
Keywords: Mathematics , Approximation theory , Functional analysis , Integral transforms , Operational calculus , Partial differential equations , Mathematics , Partial Differential Equations , Integral Transforms, Operational Calculus , Functional Analysis , Approximations and Expansions
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Call number:SPRINGER-1991-9789401135382:ONLINE Show nearby items on shelf
Title:Representation of Lie Groups and Special Functions Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms
Author(s): N. Ja Vilenkin
Date:1991
Size:1 online resource (612 p.)
Note:10.1007/978-94-011-3538-2
Contents:0: Introduction -- 1: Elements of the Theory of Lie Groups and Lie Algebras -- 1.0. Preliminary Information from Algebra, Topology, and Functional Analysis -- 1.1. Lie Groups and Lie Algebras -- 1.2. Homogeneous Spaces with Semisimple
Groups of Motions -- 2: Group Representations and Harmonic Analysis on Groups -- 2.1. Representations of Lie Groups and Lie Algebras -- 2.2. Basic Concepts of the Theory of Representations -- 2.3. Harmonic Analysis on Groups and on
Homogeneous Spaces -- 3: Commutative Groups and Elementary Functions. The Group of Linear Transformations of the Straight Line and the Gamma-Function. Hypergeometric Functions -- 3.1. Representations of One-Dimensional Commutative Lie
Groups and Elementary Functions -- 3.2. The Groups SO(2) and R, Fourier Series and Integrals -- 3.3. Fourier Transform in the Complex Domain. Mellin and Laplace Transforms -- 3.4. Representations of the Group of Linear Transforms of
the Straight Line and the Gamma-Function -- 3.5. Hypergeometric Functions and Their Properties -- 4: Representations of the Groups of Motions of Euclidean and Pseudo-Euclidean Planes, and Cylindrical Functions -- 4.1. Representations
of the Group ISO(2) and Bessel Functions with Integral Index -- 4.2. Representations of the Group ISO(1,1), Macdonald and Hankel Functions -- 4.3. Functional Relations for Cylindrical Functions -- 4.4. Quasi-Regular Representations of
the Groups ISO(2), ISO(1,1) and Integral Transforms -- 5: Representations of Groups of Third Order Triangular Matrices, the Confluent Hypergeometric Function, and Related Polynomials and Functions -- 5.1. Representations of the Group
of Third Order Real Triangular Matrices -- 5.2. Functional Relations for Whittaker Functions -- 5.3. Functional Relations for the Confluent Hypergeometric Function and for Parabolic Cylinder Functions -- 5.4. Integrals Involving
Whittaker Functions and Parabolic Cylinder Functions -- 5.5. Representations of the Group of Complex Third Order Triangular Matrices, Laguerre and Charlier Polynomials -- 6: Representations of the Groups SU(2), SU(1,1) and Related
Special Functions: Legendre, Jacobi, Chebyshev Polynomials and Functions, Gegenbauer, Krawtchouk, Meixner Polynomials -- 6.1. The Groups SU(2) and SU(1,1) -- 6.2. Finite Dimensional Irreducible Representations of the Groups GL(2,C) and
SU(2) -- 6.3. Matrix Elements of the Representations T? of the Group SL(2, C) and Jacobi, Gegenbauer and Legendre Polynomials -- 6.4. Representations of the Group SU(1,1) -- 6.5. Matrix Elements of Representations of SU(1, 1), Jacobi
and Legendre Functions -- 6.6. Addition Theorems and Multiplication Formulas -- 6.7. Generating Functions and Recurrence Formulas -- 6.8. Matrix Elements of Representations of SU(2) and SU(1,1) as Functions of Column Index. Krawtchouk
and Meixner Polynomials -- 6.9. Characters of Representations of SU(2) and Chebyshev Polynomials -- 6.10. Expansion of Functions on the Group SU(2) -- 7: Representations of the Groups SU(1,1) and SL(2,?) in Mixed Bases. The
Hypergeometric Function -- 7.1. The Realization of Representations T? in the Space of Functions on the Straight Line -- 7.2. Calculation of the Kernels of Representations R? -- 7.3. Functional Relations for the Hypergeometric Function
-- 7.4. Special Functions Connected with the Hypergeometric Function -- 7.5. The Mellin Transform and Addition Formulas for the Hypergeometric Function -- 7.6. The Kernels K33(?,? ? g) and Hankel Functions -- 7.7. The Kernels Kij(?, ?
? g), i ? j, and Special Functions -- 7.8. Harmonic Analysis on the Group SL(2, R) and Integral Transforms -- 8: Clebsch-Gordan Coefficients, Racah Coefficients, and Special Functions -- 8.1. Clebsch-Gordan Coefficients of the Group
SU(2) -- 8.2. Properties of CGC’s of the Group SU(2) -- 8.3. CGC’s, the Hypergeometric Function 3F2(… 1) and Jacobi Polynomials -- 8.4. Racah Coefficients of SU(2) and the Hypergeometric Function 4F3(… 1) -- 8.5. Hahn and Racah
Polynomials -- 8.6. Clebsch-Gordan and Racah Coefficients of the Group S and Orthogonal Polynomials -- 8.7. Clebsch-Gordan Coefficients of the Group SL(2, R)
ISBN:9789401135382
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 72
Keywords: Mathematics , Topological groups , Lie groups , Harmonic analysis , Integral transforms , Operational calculus , Special functions , Physics , Mathematics , Special Functions , Abstract Harmonic Analysis , Topological Groups, Lie Groups , Theoretical, Mathematical and Computational Physics , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1988-9781461310556:ONLINE Show nearby items on shelf
Title:Generalized Functions, Convergence Structures, and Their Applications
Author(s):
Date:1988
Size:1 online resource (464 p.)
Note:10.1007/978-1-4613-1055-6
Contents:Section I. Plenary Lectures -- Nonharmonic solutions of the Laplace equation -- Generalized functions multiplication of distributions applications to elasticity, elastoplasticity, fluid dynamics and acoustics -- Monads and convergence
-- Simple applications of generalized functions in theoretical physics: the case of many-body perturbation expansions -- Laplace transforms of hyperfunctions: another foundation of the Heaviside operational calculus -- S-asymptotic of
distributions -- The Wiener-Hopf equation in the Nevanlinna and Smirnov algebras and ultradistributions -- Section II. Generalized Functions -- On nonlinear systems of ordinary differential equations -- A new construction of continuous
endomorphisms of the operator field -- Some comments on the Burzyk-Paley-Wiener theorem for regular operators -- Two theorems on the differentiation of regular convolution quotients -- Values on the topological boundary of tubes --
Abelian theorem for the distributional Stieltjes transformation -- Some results on the neutrix convolution product of distributions -- On generalized transcedental functions and distributional transforms -- An algebraic approach to
distribution theories -- Products of Wiener functionals on an abstract Wiener space -- Convolution in K’{Mp}-spaces -- The problem of the jump and the Sokhotski formulas in the space of generalized functions on a segment of the real
axis -- A generalized fractional calculus and integral transforms -- On the generalized Meijer transformation -- The construction of regular spaces and hyperspaces with respect to a particular operator -- Operational calculus with
derivative ? = S2 -- Solvability of nonlinear operator equations with applications to hyperbolic equations -- Some important results of distribution theory -- Hyperbolic systems with discontinuous coefficients: examples -- Estimations
for the solutions of operator linear differential equations -- Invariance of the Cauchy problem for distribution differential equations -- On the space $$\upsilon _{{\text{L}}^{\text{q}} }^{\prime\,^{\left( {{\text{M}}_{\text{p}} }
\right)} } $$ , q ? [1, ?] -- Peetre’s theorem and generalized functions -- Infinite dimensional Fock spaces and an associated generalized Laplacian operator -- The n–dimensional Stieltjes transformation -- Colombeau’s generalized
functions and non-standard analysis -- One product of distributions -- Abel summability for a distribution sampling theorem -- On the value of a distribution at a point -- Section III. Convergence Structures -- On interchange of limits
-- Countability, completeness and the closed graph theorem -- Inductive limits of Riesz spaces -- Convergence completion of partially ordered groups -- Some results from nonlinear analysis in limit vector spaces -- Completions of
Cauchy vector spaces -- Regular inductive limits -- Weak convergence in a K-space -- The Banach-Steinhaus theorem for ordered spaces -- Section IV. Open Problems -- Open problems -- Participants
ISBN:9781461310556
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Keywords: Mathematics , Computer science , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis , Computer Science, general
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Call number:SPRINGER-1987-9781461308973:ONLINE Show nearby items on shelf
Title:Mathematical Logic and Its Applications
Author(s):
Date:1987
Size:1 online resource (386 p.)
Note:10.1007/978-1-4613-0897-3
Contents:Gödel Session (Invited Papers) -- Remarks Concerning Kurt Gödel’s Life and Work -- Facets of Incompleteness -- Goder s Life and Work -- Summer School (Invited Papers) -- Categorial Grammar Lambda Calculus -- A Constructive Morse
Theory of Sets -- Differentiation of Constructive Functions of a Real Variable and Relative Computability -- A Completeness Theorem for Higher-Order Intuitionistic Logic: An Intuitionistic Proof -- Reasoning in Trees --
Non-Deterministic Program Schemata and their Relation to Dynamic Logic -- The Parallel Evaluation of Functional Programs -- Logic Approximating Sequences of Sets -- Intuitionistic Formal Spaces — A First Communication -- On the Logic
of Small Changes in Theories, II -- On ‘Logical Relations’ in Program Semantics -- Conference (Contributed Papers) -- Search Computabi1ity and Computabi1ity with Numberings Are Equivalent the Case of Finite Set of Objects --
Cut-Elimination Theorem for Higher-Order Classical Logic. An Intuitionistic Proof -- Modal Environment for Boolean Speculations -- Distributive Spaces -- Approximating the Projective Model -- Projection Complete Graph Problems
Corresponding to a Branching-Program-Based Characterization of the Complexity Classes HC2, L and NL -- Constructive Theories with Abstract Data Types for Program Synthesis -- A First-Order Logic for Logic Programming -- The Relational
Semantics for Branched Quantifiers -- Propositional Dynamic Logic in Two- and More Dimensions -- On a Non-Constructive Type Theory and Program Derivation -- Prime Computabi1ity on Partial Structures -- Complexity Bounded Martin-Löf
Tests -- Participants and Contributors
ISBN:9781461308973
Series:eBooks
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Keywords: Mathematics , Logic , Integral transforms , Operational calculus , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Integral Transforms, Operational Calculus , Logic
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Call number:SPRINGER-1980-9781489967657:ONLINE Show nearby items on shelf
Title:The Radon Transform
Author(s): Sigurdur Helgason
Date:1980
Size:1 online resource (193 p.)
Note:10.1007/978-1-4899-6765-7
ISBN:9781489967657
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 5
Keywords: Mathematics , Integral transforms , Operational calculus , Biomathematics , Mathematics , Integral Transforms, Operational Calculus , Signal, Image and Speech Processing , Physiological, Cellular and Medical Topics
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Call number:SPRINGER-1980-9781468491548:ONLINE Show nearby items on shelf
Title:The Weil representation, Maslov index and Theta series
Author(s): Gérard Lion
Date:1980
Size:1 online resource (337 p.)
Note:10.1007/978-1-4684-9154-8
ISBN:9781468491548
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 6
Keywords: Mathematics , Topological groups , Lie groups , Fourier analysis , Integral transforms , Operational calculus , Number theory , Mathematics , Topological Groups, Lie Groups , Number Theory , Fourier Analysis , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1975-9783540376040:ONLINE Show nearby items on shelf
Title:Differentiation of Integrals in Rn
Author(s): Miguel de Guzmán
Date:1975
Size:1 online resource (232 p.)
Note:10.1007/BFb0081986
ISBN:9783540376040
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 481
Keywords: Mathematics , Integral equations , Integral transforms , Operational calculus , Mathematics , Integral Equations , Integral Transforms, Operational Calculus
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Call number:SPRINGER-1970-9781461343929:ONLINE Show nearby items on shelf
Title:Operational Calculus
Author(s): Gregers Krabbe
Date:1970
Size:1 online resource (349 p.)
Note:10.1007/978-1-4613-4392-9
ISBN:9781461343929
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Science , Mathematical analysis , Analysis (Mathematics) , Integral transforms , Operational calculus , Mathematics , Analysis , Integral Transforms, Operational Calculus , Science, general
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Call number:SPRINGER-1966-9783540699521:ONLINE Show nearby items on shelf
Title:Multiple Integrals in the Calculus of Variations
Author(s): Charles B Morrey
Date:1966
Size:1 online resource (506 p.)
Note:10.1007/978-3-540-69952-1
Contents:Semi-classical results -- The spaces Hmp and Hmp0 -- Existence theorems -- Differentiability of weak solutions -- Regularity theorems for the solutions of general elliptic systems and boundary value problems -- A variational method in the theory of harmonic integrals -- The -Neumann problem on strongly pseudo-convex manifolds -- to parametric Integrals two dimensional problems -- The higher dimensional plateau problems
ISBN:9783540699521
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften: 130
Keywords: Mathematics , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus , Mathematics, general
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Call number:SPRINGER-1963-9783642461750:ONLINE Show nearby items on shelf
Title:Linear Partial Differential Operators
Author(s): Lars Hörmander
Date:1963
Size:1 online resource (288 p.)
Note:10.1007/978-3-642-46175-0
Contents:I: Functional analysis -- I. Distribution theory -- II. Some special spaces of distributions -- II: Differential operators with constant coefficients -- III. Existence and approximation of solutions of differential equations -- IV. Interior regular ity of solutions of differential equations -- V. The Cauchy problem (constant coefficients) -- III: Differential operators with variable coefficients -- VI. Differential equations which have no solutions -- VII. Differential operators of constant strength -- VIII. Differential operators with simple characteristics -- IX. The Cauchy problem (variable coefficients) -- X. Elliptic boundary problems -- Appendix. Some algebraic lemmas -- Index of notations
ISBN:9783642461750
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete: 116
Keywords: Mathematics , Integral transforms , Operational calculus , Operator theory , Partial differential equations , Mathematics , Partial Differential Equations , Operator Theory , Integral Transforms, Operational Calculus
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